Real Function Algebras

1. Auflage 2019
ISBN: 978-0-367-40271-6
Verlag: CRC Press

Buch, Englisch, 208 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 304 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

This self-contained reference/text presents a thorough account of the theory of real function algebras. Employing the intrinsic approach, avoiding the complexification technique, and generalizing the theory of complex function algebras, this single-source volume includes: an introduction to real Banach algebras; various generalizations of the Stone-Weierstrass theorem; Gleason parts; Choquet and Shilov boundaries; isometries of real function algebras; extensive references; and a detailed bibliography.;Real Function Algebras offers results of independent interest such as: topological conditions for the commutativity of a real or complex Banach algebra; Ransford's short elementary proof of the Bishop-Stone-Weierstrass theorem; the implication of the analyticity or antianalyticity of f from the harmonicity of Re f, Re f(2), Re f(3), and Re f(4); and the positivity of the real part of a linear functional on a subspace of C(X).;With over 600 display equations, this reference is for mathematical analysts; pure, applied, and industrial mathematicians; and theoretical physicists; and a text for courses in Banach algebras and function algebras.

Zielgruppe

Professional

Autoren/Hrsg.

Kulkarni, S. H.

Limaye, B. V.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

Gleason parts of a real function algebra; boundaries for a real function algebra; isometries of real function algebras; symbols.

Über Autor(innen)

Kulkarni, S.H.; Limaye, B.V.